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#1 2012-03-23 10:33:41

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Crazy Fractions!!!

Hi guys

As some of you suggested i am posting this problem here.

So,here's the problem:

How many numbers

are there such that:

?

Last edited by anonimnystefy (2012-03-23 10:46:33)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#2 2012-03-23 10:36:20

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

Hi;

I am going to be the first to conjecture an infinite amount. Here are 30


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#3 2012-03-23 10:48:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

Can you prove your conjecture?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#4 2012-03-23 10:53:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

That might be very difficult or impossible to do. I do not know yet.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#5 2012-03-23 11:00:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

It may even be false.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#6 2012-03-23 11:06:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

I found that the equation above is equivalent to:

There seem to be no solutions with the given restrictions .

Last edited by anonimnystefy (2012-03-23 11:18:26)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#7 2012-03-23 11:45:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

I  posted 30 solutions and there are more.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#8 2012-03-23 12:15:39

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

I checked the first of them and it's not correct.The same probably goes for the other ones as well.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#9 2012-03-23 12:59:11

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

Read the problem again.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#10 2012-03-23 13:08:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

You changed the problem! It is different in the other thread!

This one is trivial. Of course there is no solutions.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#11 2012-03-23 13:25:38

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

Hi bobbym

I posted incorrectly over there.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#12 2012-03-23 13:36:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

Okay, no problem. Do you see why there are no solutions?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#13 2012-03-23 14:45:26

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

Yes.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#14 2012-03-25 06:57:07

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

hi bobbym

i know this is not the appropriate thread,but could you tell me some uses of the Markov chains?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#15 2012-03-25 07:00:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

They solve probability problems mostly. I show by example and leave the theorems to guys who hate numbers.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#16 2012-03-25 07:06:41

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

then show me an example.it will be more helpful.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#17 2012-03-25 07:07:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

Uhhh, do you know what show by example means?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#18 2012-03-25 07:10:46

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

i thought you meant an example by solving a theoretical problem.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#19 2012-03-25 07:11:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

Nope, they are solved by computation. Do you have access to some computational engine?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#20 2012-03-25 07:18:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

like what?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#21 2012-03-25 07:19:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

Maple, mathematica, maxima, axiom, derive, sage...


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#22 2012-03-25 07:26:05

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

nothing on my desktop. sad


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#23 2012-03-25 07:27:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

Not even geogebra!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#24 2012-03-25 07:30:33

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,380

Re: Crazy Fractions!!!

actually i have 'Geogebra Prim'


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#25 2012-03-25 07:32:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,536

Re: Crazy Fractions!!!

GeoGebraPrim.exe? Do you have the one with maxima inside as I suggested to you a zillion years ago.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

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